Title

Project Description

Why astronomers use telescopes with parabolic mirrors

Tangent line, physics

The sun as a black hole

Derivatives, arbitrary constants

The shortest crease

Geometry, extrema, trigonometry

Cubics and coordinate systems

Critical points, inflection points, area, integration, symmetry

The case of the parabolic pool table

Normal lines, polynomial differentiation

Calculus for climatologists

Intermediate Value Theorem

Finding the salami curve

First derivative test, optimization, rules of differentiation

Saving lunar station Alpha

Critical points, optimization, chain rule, related rates

The case of the cooling cadaver

Algebra and calculus of exponential functions, systems of linear equations, Newton’s Law of Cooling

Ham sandwich theorem

Intermediate Value Theorem

Board on arches

Equation of line tangent to two parabolas

Marble in a vase

Curves tangent to each other

The Colorado River problem

Related rates

Fly meets spider

Tangent passing through an outside point; distance

Escape velocity

Physics, integration, separation of variables

Free Fall

Introduction to Calculus